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Sur la théorie élémentaire des corps de fonctions

Published online by Cambridge University Press:  12 March 2014

Jean-Louis Duret
Jean-Louis Duret*
Affiliation:
Équipe de Logique Mathématique, Université Paris VII, Paris, France
*
Faculté des Sciences, Université D'Angers, 49045 Angers, France
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Abstract

We study the first order theory of function fields in the language of fields by using fundamental results on curves in algebraic geometry. We give some applications; for example, using a theorem of G. Cherlin, we prove the undecidability of function fields with nonzero characteristic over an algebraically closed field.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 51 , Issue 4 , December 1986 , pp. 948 - 956
Copyright
Copyright © Association for Symbolic Logic 1986

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References

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